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Openai/695d09e5-7848-8005-85a0-7c1e2c1cf8c2
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=== User: 5.廖小姐和胡先生在派對上玩函數猜猜樂,是由江小姐設計的一個三次函數fx,規則是一個人每輪可以提出一個一次式做為fx的除式,而江小姐會回答fx除以該除式所得的餘式。已知輪到廖小姐時她說x-1,江小姐回答7;輪到胡先生時他說(x+1),江小… === 5.廖小姐和胡先生在派對上玩函數猜猜樂,是由江小姐設計的一個三次函數f(x),規則是一個人每輪可以提出一個一次式做為f(x)的除式,而江小姐會回答f(x)除以該除式所得的餘式。已知輪到廖小姐時她說(x-1),江小姐回答7;輪到胡先生時他說(x+1),江小姐回答3。廖小姐想到上輪劉先生說x時江小姐好像回答5還是9,但是5還是9她有點不太清楚了。選出錯誤的選項 (1)如果江小姐當時回答5,函數對稱中心為(0,5) (2)如果江小姐當時回答9,函數對稱中心的x座標不一定在-1≤x≤1之間 (3)如果江小姐當時回答9,f(x)-9必有因式x (4)如果江小姐當時回答5,f(x)可能是2x^3+5 (5)如果江小姐當時回答9,f(x)可能是2x^3+9
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